101201201112301 has 2 divisors, whose sum is σ = 101201201112302. Its totient is φ = 101201201112300.

The previous prime is 101201201112293. The next prime is 101201201112343. The reversal of 101201201112301 is 103211102102101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 84687754734025 + 16513446378276 = 9202595^2 + 4063674^2 .

It is a cyclic number.

It is not a de Polignac number, because 101201201112301 - 2³ = 101201201112293 is a prime.

It is a super-2 number, since 2×101201201112301² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101201201112901) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50600600556150 + 50600600556151.

It is an arithmetic number, because the mean of its divisors is an integer number (50600600556151).

Almost surely, 2^{101201201112301} is an apocalyptic number.

It is an amenable number.

101201201112301 is a deficient number, since it is larger than the sum of its proper divisors (1).

101201201112301 is an equidigital number, since it uses as much as digits as its factorization.

101201201112301 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 101201201112301 its reverse (103211102102101), we get a palindrome (204412303214402).

The spelling of 101201201112301 in words is "one hundred one trillion, two hundred one billion, two hundred one million, one hundred twelve thousand, three hundred one".